Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing Calculator

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✖Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.ⓘ Slant Height [s]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing [A]

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Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing Solution

STEP 0: Pre-Calculation Summary

Formula Used

area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2))))))
A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2))))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Slant Height - Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Slant Height: 5 Meter --> 5 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2)))))) --> (4*((5^2)-(12^2)))+((2*(sqrt((5^2)-(12^2))))*(sqrt((4*(12^2))+(4*((5^2)-(12^2))))))

Evaluating ... ...

A = NaN

STEP 3: Convert Result to Output's Unit

NaN Square Meter --> No Conversion Required

FINAL ANSWER

NaN Square Meter <-- Area

(Calculation completed in 00.016 seconds)

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Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing

< 11 Other formulas that you can solve using the same Inputs

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volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go

Total Surface Area of a Cone

total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go

Lateral Surface Area of a Cone

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height Go

Volume of a Circular Cone

volume = (1/3)*pi*(Radius)^2*Height Go

Area of a Trapezoid

area = ((Base A+Base B)/2)*Height Go

Volume of a Circular Cylinder

volume = pi*(Radius)^2*Height Go

Volume of a Pyramid

volume = (1/3)*Side^2*Height Go

Area of a Triangle when base and height are given

area = 1/2*Base*Height Go

Area of a Parallelogram when base and height are given

area = Base*Height Go

< 11 Other formulas that calculate the same Output

Area of a Triangle when sides are given

area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go

Area of a Rhombus when side and diagonals are given

area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go

Area of a Rectangle when breadth and diagonal are given

area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go

Area of a Rectangle when length and diagonal are given

area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go

Area of a Trapezoid

area = ((Base A+Base B)/2)*Height Go

Area of a Rhombus when diagonals are given

area = (Diagonal A*Diagonal B)/2 Go

Area of a Triangle when base and height are given

area = 1/2*Base*Height Go

Area of a Rectangle when length and breadth are given

area = Length*Breadth Go

Area of a Parallelogram when base and height are given

area = Base*Height Go

Area of a Square when diagonal is given

area = 1/2*(Diagonal)^2 Go

Area of a Square when side is given

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Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing Formula

What is square pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C₄ᵥ symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J₁

How to Calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?

Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing calculator uses area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))) to calculate the Area, Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane. Area and is denoted by A symbol.

How to calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing using this online calculator? To use this online calculator for Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing, enter Slant Height (s) and Height (h) and hit the calculate button. Here is how the Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing calculation can be explained with given input values -> NaN = (4*((5^2)-(12^2)))+((2*(sqrt((5^2)-(12^2))))*(sqrt((4*(12^2))+(4*((5^2)-(12^2)))))).

FAQ

What is Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?

Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane and is represented as A = (4*((s^2)-(h^2)))+((2*(sqrt((s^2)-(h^2))))*(sqrt((4*(h^2))+(4*((s^2)-(h^2)))))) or area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))). Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base and Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing?

Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing formula is defined as amount of space occupied by Square Pyramid in given plane is calculated using area = (4*((Slant Height^2)-(Height^2)))+((2*(sqrt((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height^2)-(Height^2)))))). To calculate Surface area of Square Pyramid when Slant height (s) is given and Edge length of base (a) is missing, you need Slant Height (s) and Height (h). With our tool, you need to enter the respective value for Slant Height and Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area?

In this formula, Area uses Slant Height and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -

area = 1/2*Base*Height
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
area = Length*Breadth
area = Length*(sqrt((Diagonal)^2-(Length)^2))
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
area = (Side A)^2
area = 1/2*(Diagonal)^2
area = (Diagonal A*Diagonal B)/2
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
area = Base*Height
area = ((Base A+Base B)/2)*Height

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